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Finding the Fourth Proportional to 10,962.96, 16,445.47 and 3,065.47

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Solution

The fourth proportional to 10,962.96, 16,445.47 and 3,065.47 is: 4,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.96 : 16,445.47 = 3,065.47 : x
  2. Step 2: Convert to fraction form
    10,962.96/16,445.47 = 3,065.47/x
  3. Step 3: Cross multiply
    10,962.96x = 16,445.47 × 3,065.47
  4. Step 4: Simplify right side
    10,962.96x = 50,413,120.79
  5. Step 5: Solve for x
    x = 50,413,120.79/10,962.96
  6. Step 6: Final answer
    x = 4,598.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.